The decay $\tau \to K^{-}{\pi }^0{\nu }_{\tau }$ in the Nambu-Jona-Lasinio model

Abstract

In this paper, the width of the decay $\tau \to K^{-}{\pi }^0{\nu }_{\tau }$ is calculated in the framework of the Nambu-Jona-Lasinio model. The contributions of the intermediate vector $K^{\ast }(892)$ and scalar $K_0^{\ast }(800)$ mesons are taken into account. It is shown that the main contribution to the width of this decay is given by the subprocesses with the intermediate $W$-boson and vector $K^{\ast }(892)$ meson. The scalar channel with the intermediate $K_0^{\ast }(800)$ meson gives an insignificant contribution. In Appendix, it is shown that the contribution of the subprocess with the intermediate ${K^{\ast }}^{\prime }(1410)$ meson is negligible as well. The obtained results are in satisfactory agreement with the experimental data.

7 pages, 3 figures

References in corpus (7)

• Big-Bang Nucleosynthesis
• Spectral distribution for the decay tau -> nu_tau K pi
• K pi vector form factor, dispersive constraints and tau -> nu_tau K pi decays
• What can be learned from the Belle spectrum for the decay tau- -> nu_tau K_S pi-
• K pi vector form factor constrained by tau ---> K pi nu_tau and K_l3 decays
• Combined analysis of the decays ${\tau }^{-}\to K_S{\pi }^{-}{\nu }_{\tau }$ and ${\tau }^{-}\to K^{-}\eta {\nu }_{\tau }$
• The decay $\tau \to f_1\pi {\nu }_{\tau }$ in the Nambu--Jona-Lasinio model

Cited by in corpus (4)

• ${\tau }^{-}\to {\nu }_{\tau }{M}_1{M}_2$, with $M_1,M_2$ pseudoscalar or vector mesons
• The decay $\tau \to K^0{K}^{-}{\nu }_{\tau }$ in the extended Nambu-Jona-Lasinio model
• The decays $\tau \to {\nu }_{\tau }(K^{\ast }(892),K^{\ast }(1410),K_1(1270),K_1(1650),a_1(1260),a_1(1640))$ in the Extended Nambu-Jona-Lasinio Model
• The polarization effects of the process $\tau \to K^{-}{\pi }^0{\nu }_{\tau }$ in the Nambu--Jona-Lasinio model